The ordered multiplicative modular geometric operator

被引：8
作者：
Chen, Liuhao [1 ]
Xu, Zeshui [2 ]
Yu, Xiaohan [1 ]
机构：
[1] PLA Univ Sci & Technol, Inst Commun Engn, Nanjing 210007, Jiangsu, Peoples R China
[2] PLA Univ Sci & Technol, Inst Sci, Nanjing 210007, Jiangsu, Peoples R China
来源：
KNOWLEDGE-BASED SYSTEMS | 2013年 / 39卷
基金：
中国国家自然科学基金;
关键词：
Modularity; Symmetric capacity; Ordered multiplicative modular geometric; Aggregation function; Operator; GROUP DECISION-MAKING; AGGREGATING UNCERTAIN-INFORMATION; OWA OPERATORS; QUANTIFIERS;
D O I：
10.1016/j.knosys.2012.10.014
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The aim of this paper is to investigate an ordered multiplicative modular geometric operator and its relevant properties. The ordered multiplicative modular geometric operator is a generalized form of the ordered weighted geometric operator which has been designed incorporating the advantages of the geometric mean to deal with ratio judgments and the advantages of the ordered weighted averaging (OWA) operator to represent the concept of fuzzy majority in the process of information aggregation. Besides, the ordered multiplicative modular geometric operator can be seen as a symmetrized multiplicative modular aggregation function, characterized by comonotone multiplicative modularity. It is worth pointing that lots of the existing operators (such as the ordered weighted geometric operator, the weighted geometric operator, the ordered weighted maximum, and the Max and Min operators) can be regarded as the special cases of the ordered multiplicative modular geometric operator, which is of value in developing the theory of geometric operators. (c) 2012 Elsevier B.V. All rights reserved.
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页码：144 / 150
页数：7
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